document.write( "Question 1132586: If\"x=sqrt%28sqrt%28a%2Fb%29-sqrt%28b%2Fa%29%29\" prove that \"%282a%29sqrt%281%2Bx%5E2%29%2F%28x%2Bsqrt%281%2Bx%5E2%29%29=a%2Bb\" \n" ); document.write( "
Algebra.Com's Answer #749843 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Sorry that's not true.\r\n" );
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document.write( "Here is a case where it's false:\r\n" );
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document.write( "suppose a=2, b=1, then\r\n" );
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document.write( "\"x=sqrt%28sqrt%28a%2Fb%29-sqrt%28b%2Fa%29%29\" \r\n" );
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document.write( "\"x=sqrt%28sqrt%282%2F1%29-sqrt%281%2F2%29%29\"\r\n" );
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document.write( "Putting the right side in your calculator you get\r\n" );
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document.write( "x=0.8408964153\r\n" );
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document.write( "Then a=2, b=1 and x=0.8408964153\r\n" );
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document.write( "\"%282a%29sqrt%281%2Bx%5E2%29%2F%28x%2Bsqrt%281%2Bx%5E2%29%29=a%2Bb\"\r\n" );
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document.write( "Putting that in your calculator gives\r\n" );
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document.write( "\"2.433690671=3\"\r\n" );
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document.write( "which is clearly false.\r\n" );
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document.write( "Edwin
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